Chapter 6.1, Problem 3CP

Interpretation Introduction

Interpretation:

The speed of lightfor a wavelength of $\text{ 684 nm}$ is to be calculated, which travels through Pyrex glass with a frequency of $2.92\times {10}^{14}{s}^{-1}$.

Concept introduction:

Light is measured by its wavelength (in nanometres) or frequency (in Hertz).

One wavelength equals the distance between two successive wave crests or troughs.

Frequency (Hertz) equals the number of waves that passes a given point per second.

The relation between the speed of light, wavelength, and frequency is as follows:

$c=v\lambda$

Here, $v$ is the frequency, $\lambda$ is the wavelength, and $c$ is the speed of light.

The frequency of the electromagnetic radiation is used to determine the amount of energy, which is carried by one of its photons.

The energy of the photon is directly proportional to the frequency.

$E=hv$

Here, $v$ is the frequency, $c$ is the speed of light, and $E$ is the energy.

The relation between a nanometer and a meter is as:

$\text{1}\text{}\text{}\text{nm}={10}^{-9}\text{m}$

The conversion factor to obtain the units of wavelength in $\text{m}$ is as:

$\frac{{10}^{-9}\text{m}}{1\text{ nm}}$